A racecar travels around an oval track. Let d represent the distance driven by the racecar (in meters) from the starting line, and let t represent the number of seconds since the racecar left the starting line. The function f, defined by the formula f(t)=0.5t2+2t, determines the distance the racecar has driven in meters when the racecar has been traveling for t seconds. Based on this description, what is the meaning of f(4)−f(3)? The time elapsed as the car moved from the 3 meter mark to the 4 meter mark The increase in speed as the car moved from the 3 meter mark to the 4 meter mark The distance traveled by the car from t=3 to t=4 seconds The distance traveled by the car for any 1 seconds The average speed of the car from t=3 to t=4 seconds

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.3: Solving Linear Equations
Problem 2TU: If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second...
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A racecar travels around an oval track. Let d represent the distance driven by the racecar (in meters) from the starting line, and let t represent the number of seconds since the racecar left the starting line. The function f, defined by the formula f(t)=0.5t2+2t, determines the distance the racecar has driven in meters when the racecar has been traveling for t seconds.

Based on this description, what is the meaning of f(4)−f(3)?

  • The time elapsed as the car moved from the 3 meter mark to the 4 meter mark
  • The increase in speed as the car moved from the 3 meter mark to the 4 meter mark
  • The distance traveled by the car from t=3 to t=4 seconds
  • The distance traveled by the car for any 1 seconds
  • The average speed of the car from t=3 to t=4 seconds

 

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